468960

468,960 is an even composite number composed of four prime numbers multiplied together.

What does the number 468960 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

468960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 468960:

2⁵ × 3 × 5 × 977

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 977)

See below for interesting mathematical facts about the number 468960 from the Numbermatics database.

Names of 468960

Cardinal: 468960 can be written as Four hundred sixty-eight thousand, nine hundred sixty.

Scientific notation

Scientific notation: 4.6896 × 10⁵

Factors of 468960

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 987

Divisors of 468960

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 977 1954 2931 3908 4885 5862 7816 9770 11724 14655 15632 19540 23448 29310 31264 39080 46896 58620 78160 93792 117240 156320 234480 468960
Sum of all divisors σ(n): 1478736
Sum of proper divisors (its aliquot sum) s(n): 1009776
468960 is an abundant number, because the sum of its proper divisors (1009776) is greater than itself. Its abundance is 540816

Bases of 468960

Binary: 1110010011111100000₂
Hexadecimal: 0x727E0
Base-36: A1UO

Squares and roots of 468960

468960 squared (468960²) is 219923481600
468960 cubed (468960³) is 103135315931136000
The square root of 468960 is 684.8065420249
The cube root of 468960 is 77.6924112517

Scales and comparisons

How big is 468960?

468,960 seconds is equal to 5 days, 10 hours, 16 minutes.
To count from 1 to 468,960 would take you about five days.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
A cube with a volume of 468960 cubic inches would be around 6.5 feet tall.

Recreational maths with 468960

468960 backwards is 069864
The number of decimal digits it has is: 6
The sum of 468960's digits is 33
More coming soon!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

<a href="https://numbermatics.com/n/468960/?utm_source=shared">Number 468960 - Facts about the integer</a>

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

[url=https://numbermatics.com/n/468960/?utm_source=shared]Number 468960 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 468960 - Facts about the integer". Numbermatics.com. 2024. Web. 20 April 2024.

APA style:
Numbermatics. (2024). Number 468960 - Facts about the integer. Retrieved 20 April 2024, from https://numbermatics.com/n/468960/

Chicago style:
Numbermatics. 2024. "Number 468960 - Facts about the integer". https://numbermatics.com/n/468960/

The information we have on file for 468960 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 468960, math, Factors of 468960, curriculum, school, college, exams, university, Prime factorization of 468960, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-eight thousand, nine hundred sixty.